THE A's AND THE B's

     Consider that A and B are objects.

     A and B may be two different objects, or they may be one and the
same object with different names, namely A and B.
 
     0.) If A and B have two different quality sets, then A and B are
two different objects, and if A and B are two different objects then A
and B have two different quality sets.
 
     Notice 4.) below, an object's location in space and time is a
member of it's quality set, thus if A and B have two different locations
in space or time, then A and B are two different objects.

     1.) If A and B are two objects, and A changes state and B doesn't,
then A and B were and are two DIFFERENT objects.

     2.) If A and B are two different objects, then one or both are not
nothings, as there can not be two different nothings.

     3.) If A changes state, then A was or is now a something.

     4.) If A and B are separated by a space time distance or extension
in any dimension, then A and B are two different objects.

     This applies even if A and B are MERELY points in space time.
 
     5.) If A and B are two different objects, the only way B can learn
about A, is for B to be the effect of A, that is for A to cause B to
change state.  No matter how much effect B has on A, if A has no effect
on B, then B can not learn anything about A including whether A exists
or not.
 
     Notice the STATE of an object is merely the state of its Object
Quality Set, thus a change in state means a change in the membership of
the Object Quality Set.
 
     Since the only way B can learn about A is to be the effect of A,
and to change state BECAUSE of A, the only thing B can learn about A is
how A affects B, namely A's qualities of causal relation to B.
 
     Thus all learning is learning about CAUSE.

     6.) If B and A are two different objects, at no time does B have
direct observation or contact with A.

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     SCHOLIA

     3.) If A changes state, then A is or was a something.

     Proof:

     A nothing can not change state into a nothing, as that is a no
change.

     Thus if A changes state, it either was a nothing and changed into a
something, or it was a something and changed into another something, or
it was a something and changed into a nothing.  QED
 
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     SCHOLIA CORE THEOREM
 
     This is the core theorem of the LCCC (Learning, Certainty,
Causality and Consciousness).  
 
     Without this theorem, the whole thing is false.
 
     5.) If A and B are two different objects, the only way B can learn
about A, is if A causes B to change state, that is if A has some effect
on B.  No matter how much effect B has on A, if A has no effect on B,
then B can not learn anything about A including whether A exists or not.

     If A can not influence B, and A can not influence anything that can
influence B, then any changes that B undergoes are irrelevant to the
nature of A, and thus can provide B no learning about A.
 
     In the absence of cause, there is no learning.

     In the presence of cause, the effect caused IS the learning.

     An absence of a change in state indicates an absence of cause.

     Thus in the absence of a change in state in B, there is no
learning by B about anything.

     Since the only way B can learn about A is to be the effect of A,
the only thing B can learn about A is how A affects B, namely A's
qualities of causal relation to B.

     Thus the only qualities that B can learn about A, are qualities
of causal relation, namely how A caused B to change state.  All other
qualities of relation or being about A are inferred as theories from
A's qualities of causal relation to B.

     Thus even the qualities of causal relation of A are inferred by B
from changes in B's own state.

     If B does not change state, there can be no learning at all about
A.

     B's change in state IS B's learning about A.

     Since B's state gives no proof that B changed state, B can never be
perfectly certain it learned anything about A even if B did change state
as an effect of A.

     When B is learning about A, A is the referent and B is the symbol.

     All mechanical learning between two different objects is the
arising of a symbol from a referent along a causal pathway.

     All mechanical learning is by indirect perception, learning about
A by being the effect of and looking at B.